<div dir="ltr">Si comunica che il seminario del <b>prof. Levi Lopes de Lima,</b> previsto oggi 8 febbraio 2018 alle ore 16:30, si terrà in <b style="">aula Capitini.</b><div><b><br></b></div><div><b>Classe di Scienze Matematiche e naturali<br></b><div><font size="4"><b><br clear="all"></b></font><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
<br><div class="gmail_quote">---------- Forwarded message ----------<br>From: <b class="gmail_sendername">Valeria Giuliani</b> <span dir="ltr"><<a href="mailto:valeria.giuliani@sns.it">valeria.giuliani@sns.it</a>></span><br>Date: 2018-02-07 9:43 GMT+01:00<br>Subject: avviso seminario di Matematica prof. Levi Lopes de Lima (08.02.2018)<br>To: <a href="mailto:professori.sci@sns.it">professori.sci@sns.it</a>, "professori.contratto.sci" <<a href="mailto:professori.contratto.sci@sns.it">professori.contratto.sci@sns.it</a>>, <a href="mailto:ricercatori.sci@sns.it">ricercatori.sci@sns.it</a>, <a href="mailto:ricercatori.td.sci@sns.it">ricercatori.td.sci@sns.it</a>, Borsisti <<a href="mailto:borsisti@sns.it">borsisti@sns.it</a>>, <a href="mailto:assegnisti.sci@sns.it">assegnisti.sci@sns.it</a>, Perfezionandi Scienze <<a href="mailto:phd.sci@sns.it">phd.sci@sns.it</a>>, "phd.extra.sci" <<a href="mailto:phd.extra.sci@sns.it">phd.extra.sci@sns.it</a>>, Studenti Scienze <<a href="mailto:allievi.sci@sns.it">allievi.sci@sns.it</a>>, "allievi.extra.sci" <<a href="mailto:allievi.extra.sci@sns.it">allievi.extra.sci@sns.it</a>>, Esterni Scienze in Convenzione <<a href="mailto:esterni_sci_inconvenzione@sns.it">esterni_sci_inconvenzione@sns.it</a>><br>Cc: Classi <<a href="mailto:classi@sns.it">classi@sns.it</a>>, Sito SNS <<a href="mailto:sitosns@sns.it">sitosns@sns.it</a>>, Portineria Carovana <<a href="mailto:portineria.carovana@sns.it">portineria.carovana@sns.it</a>><br><br><br><div dir="ltr">
<p class="gmail-m_-4126539043977789074gmail-MsoTitle" style="margin:0cm 0cm 0.0001pt;text-align:center;font-size:24pt;font-family:"New York",serif;font-weight:bold;text-decoration:underline"><span style="font-size:18pt;font-family:"Times New Roman",serif">SEMINARIO
DI MATEMATICA<span></span></span></p>
<p class="gmail-m_-4126539043977789074gmail-MsoTitle" style="margin:0cm 0cm 0.0001pt;text-align:center;font-size:24pt;font-family:"New York",serif;font-weight:bold;text-decoration:underline"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration:none"> </span></span></span></p>
<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Giovedì 8 febbraio 2018</span><span style="font-size:16pt;font-family:"Times New Roman",serif"><span></span></span></p>
<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">ore <span>16:30</span><span></span></span></p>
<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><u><span style="font-size:16pt;font-family:"Times New Roman",serif">Scuola Normale Superiore<span></span></span></u></p>
<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Pisa<span></span></span></p>
<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif;background:rgb(255,255,255)"><font color="#ff0000">Aula Capitini</font></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><u><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration:none;background-color:rgb(255,255,255)"><font color="#f3f3f3"> </font></span></span></span></u></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background:white;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span class="gmail-m_-4126539043977789074gmail-apple-converted-space"><b><span style="font-size:24pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white"> </span></b></span><span style="font-size:9.5pt;font-family:Arial,sans-serif;color:rgb(34,34,34);background:white"> </span><b><span style="font-size:22pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white">Levi Lopes de Lima</span></b><b><span style="font-size:22pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"><span></span></span></b></p>
<p class="MsoNormal" align="center" style="text-align:center;background:white;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><i><span style="font-family:"Times New Roman",serif;color:rgb(34,34,34)">(Universidade Federal do Ceará)<span></span></span></i></p>
<pre style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:10pt;font-family:"Courier New""><b><i><span style="font-size:12pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white"><span> </span></span></i></b></pre>
<p class="MsoNormal" align="center" style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">terrà un
seminario dal titolo:<span></span></span></p>
<p class="MsoNormal" align="center" style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" align="center" style="text-align:center;background:white;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:black">“</span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white">A Feynman-Kac formula on manifolds with boundary</span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"><br style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">
<span style="background:white"><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;float:none;word-spacing:0px">and geometric applications</span></span></span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:black">”</span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"><span></span></span></b></p>
<p class="MsoNormal" align="center" style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif"><span> </span></span></b></p>
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><span style="font-family:"Times New Roman",serif">Abstract:<span></span></span></b></p>
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><i><span lang="EN-US" style="font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white">We present a
Feynman-Kac-type formula for the heat semigroup</span></i><i><span lang="EN-US" style="font-family:"Times New Roman",serif;color:rgb(34,34,34)"> <span style="background:white">associated
to a generalized Laplacian operator acting on sections of a</span></span> <span style="background:white">vector bundle over a noncompact manifold with a
(possibly noncompact)</span> <span style="background:white">boundary
under mixed boundary conditions.</span> <span style="background:white">We
discuss geometric applications of the formula including: i) a new</span>
<span style="background:white">obstruction to the existence of metrics with
positive isotropic</span> <span style="background:white">curvature and
2-convex boundary on compact manifolds; ii)</span> <span style="background:white">a conservation property for the heat semigroup
associated to a class</span> <span style="background:white">of
generalized Dirac Laplacians which extends previous results by</span> <span style="background:white">Vesentini and Masamune in the setting of differential
forms.</span></i><b><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span></span></span></i></b></p>
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><i><span lang="EN-US" style="font-family:"Times New Roman",serif"><span> </span></span></i></p>
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Tutti gli interessati sono invitati a
partecipare.<span></span></span></p>
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Classe di Scienze Matematiche e Naturali<span class="gmail-HOEnZb"><font color="#888888"><span></span></font></span></span></p><span class="gmail-HOEnZb"><font color="#888888">
<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>
<br clear="all"><div><div class="gmail-m_-4126539043977789074gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
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